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71313924 = 223114113177
BaseRepresentation
bin1000100000000…
…10101000000100
311222012010022110
410100002220010
5121224021144
611024301020
71524105213
oct420025004
9158163273
1071313924
1137289230
121ba71770
1311a0b8b6
14968507a
1563da0b9
hex4402a04

71313924 has 48 divisors (see below), whose sum is σ = 185967936. Its totient is φ = 21081600.

The previous prime is 71313923. The next prime is 71313971. The reversal of 71313924 is 42931317.

It is a junction number, because it is equal to n+sod(n) for n = 71313891 and 71313900.

It is not an unprimeable number, because it can be changed into a prime (71313923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 12000.

It is an arithmetic number, because the mean of its divisors is an integer number (3874332).

Almost surely, 271313924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71313924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92983968).

71313924 is an abundant number, since it is smaller than the sum of its proper divisors (114654012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71313924 is a wasteful number, since it uses less digits than its factorization.

71313924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13236 (or 13234 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 71313924 is about 8444.7571901151. The cubic root of 71313924 is about 414.6911603599.

The spelling of 71313924 in words is "seventy-one million, three hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 13177 26354 39531 52708 79062 144947 158124 289894 434841 540257 579788 869682 1080514 1620771 1739364 2161028 3241542 5942827 6483084 11885654 17828481 23771308 35656962 71313924